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Finding the Fourth Proportional to 8,650.88, 12,974.16 and 2,809.16

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Solution

The fourth proportional to 8,650.88, 12,974.16 and 2,809.16 is: 4,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.88 : 12,974.16 = 2,809.16 : x
  2. Step 2: Convert to fraction form
    8,650.88/12,974.16 = 2,809.16/x
  3. Step 3: Cross multiply
    8,650.88x = 12,974.16 × 2,809.16
  4. Step 4: Simplify right side
    8,650.88x = 36,446,491.31
  5. Step 5: Solve for x
    x = 36,446,491.31/8,650.88
  6. Step 6: Final answer
    x = 4,213.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.